Skip to main content
Erschienen in: The International Journal of Advanced Manufacturing Technology 1-4/2019

13.08.2019 | ORIGINAL ARTICLE

Residual stress prediction in selective laser melting

A critical review of simulation strategies

verfasst von: Leonardo Bertini, Francesco Bucchi, Francesco Frendo, Mattia Moda, Bernardo Disma Monelli

Erschienen in: The International Journal of Advanced Manufacturing Technology | Ausgabe 1-4/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This review focuses on the analysis of numerical models aimed at predicting the residual stress-strain field produced by the selective laser melting process. Our first intent is to favor an intuitive understanding of the underlying physics and then to provide an overview of the available simulation strategies specifying their field of application. In fact, given the complexity and the multi-scale nature of the process, various tailored models are needed for the assessment and prediction of defects and manufacturing issues arising during the building phase. Regarding the estimation of residual stresses, the available models were reviewed and classified on the basis of the dimensional scale of the simulated phenomena. Meso-scale models perform the detailed simulation of the scanning process, but the high computational cost currently prevents their application on the whole build volume (the current limit on the scanning volume is approximately 100 mm3 with dynamic mesh coarsening techniques). Macro-scale models have been developed to overcome this limit by introducing deep simplifications of the thermo-structural problem. From our review, it appears that meso-scale modeling has reached a significant maturity, while a widely adopted strategy for macro-scale simulations has not emerged yet.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Fußnoten
1
Defined by the design rules for additive manufacturing [1, 2, 122].
 
2
Evolution of the composite material concept.
 
3
Consisting in localized fusion and subsequent solidification of thin metallic powder layers.
 
4
Properly designed heat treatments may produce static mechanical properties comparable with the ones of conventional forged or cast materials (usually maintaining higher tensile strengths, but lower fracture strains) [9, 99, 123, 125].
 
5
Transverse electric and magnetic (TEM) mode.
 
6
The density of radiation incident on a given surface usually expressed in Watts per square centimeter or square meter [87].
 
7
Pure analytical procedures (such as the one presented here) can be useful to understand the main physical phenomena and formulate educated guesses, but parameter fine-tuning and design space explorations require a combination of analytical, numerical, and structured experimental approaches.
 
8
Evaluated on the midplane of the powder layer.
 
9
The depth at which the magnitude of the electric (or the magnetic) field inside the material decayed to e− 1 of its surface value, and the radiation power (proportional to the square of a field quantity) decreased to e− 2 (about 13.5%) of its surface value.
 
10
Heat-affected zone.
 
11
Partial differential equation(s).
 
12
Finite element method.
 
13
Finite difference method.
 
14
Lattice Boltzmann method.
 
15
Degree of freedom.
 
16
Constant temperature.
 
17
Surface heat sources.
 
18
Both linear (e.g. convection) and non-linear (e.g. radiation).
 
19
Defined as the reciprocal of the variance; for the Gaussian standard normal distribution τ = 2.
 
20
Electron beam melting.
 
21
Additive manufacturing.
 
22
More properly gas filled.
 
23
Which instead affect the lattice vibrational component of the conductive heat transfer.
 
24
Homogeneous or with homogenized properties.
 
25
Composed of a yield criterion with the corresponding loading-unloading condition, a flow rule, and a hardening model.
 
26
Laser displacement sensor.
 
27
Strictly speaking, a loss of accuracy and resolution is produced by the coarsening procedure.
 
Literatur
12.
Zurück zum Zitat Bejan A, Kraus AD (2003) Heat transfer handbook. Wiley, New York Bejan A, Kraus AD (2003) Heat transfer handbook. Wiley, New York
14.
Zurück zum Zitat Casavola C, Campanelli SL, Pappalettere C, Campanelli L, Pappalettere C (2008) Experimental analysis of residual stresses in the selective laser melting process. In: Proceedings of the XIth International Congress and Exposition, vol 3, pp 1479–1486 Casavola C, Campanelli SL, Pappalettere C, Campanelli L, Pappalettere C (2008) Experimental analysis of residual stresses in the selective laser melting process. In: Proceedings of the XIth International Congress and Exposition, vol 3, pp 1479–1486
16.
Zurück zum Zitat Cengel YA (2002) Heat transfer: a practical approach. Mcgraw-Hill, Tx Cengel YA (2002) Heat transfer: a practical approach. Mcgraw-Hill, Tx
32.
Zurück zum Zitat Dunbar AJ, Denlinger ER, Heigel J, Michaleris P, Guerrier P, Martukanitz R, Simpson TW (2016) Development of experimental method for in situ distortion and temperature measurements during the laser powder bed fusion additive manufacturing process. Add Manuf 12:25–30. https://doi.org/10.1016/j.addma.2016.04.007 Dunbar AJ, Denlinger ER, Heigel J, Michaleris P, Guerrier P, Martukanitz R, Simpson TW (2016) Development of experimental method for in situ distortion and temperature measurements during the laser powder bed fusion additive manufacturing process. Add Manuf 12:25–30. https://​doi.​org/​10.​1016/​j.​addma.​2016.​04.​007
37.
Zurück zum Zitat Gong H, Rafi K, Starr T, Stucker B (2013) The effects of processing parameters on defect regularity in Ti-6Al-4V parts fabricated by selective laser melting and electron beam melting. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 424–439 Gong H, Rafi K, Starr T, Stucker B (2013) The effects of processing parameters on defect regularity in Ti-6Al-4V parts fabricated by selective laser melting and electron beam melting. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 424–439
39.
Zurück zum Zitat Gu H, Gong H, Pal D, Rafi K, Starr T, Stucker B (2013) Influences of energy density on porosity and microstructure of selective laser melted 17-4PH stainless steel. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 474– 489 Gu H, Gong H, Pal D, Rafi K, Starr T, Stucker B (2013) Influences of energy density on porosity and microstructure of selective laser melted 17-4PH stainless steel. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 474– 489
51.
Zurück zum Zitat Hutton DV (2004) Fundamentals of finite element analysis. McGraw-Hill, New York Hutton DV (2004) Fundamentals of finite element analysis. McGraw-Hill, New York
53.
Zurück zum Zitat ISO 11146-2:2005(E) (2005) Lasers and laser-related equipment – test methods for laser beam widths, divergence angles and beam propagation ratios – general astigmatic beams. International standard, International Organization for Standardization, Geneva, CH ISO 11146-2:2005(E) (2005) Lasers and laser-related equipment – test methods for laser beam widths, divergence angles and beam propagation ratios – general astigmatic beams. International standard, International Organization for Standardization, Geneva, CH
55.
Zurück zum Zitat Keller N, Ploshikhin V (2014) New method for fast predictions of residual stress and distortions of AM parts. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 1229–1237 Keller N, Ploshikhin V (2014) New method for fast predictions of residual stress and distortions of AM parts. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 1229–1237
59.
68.
Zurück zum Zitat Lee Y, Zhang W (2015) Mesoscopic simulation of heat transfer and fluid flow in laser powder bed additive manufacturing. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 1154–1165 Lee Y, Zhang W (2015) Mesoscopic simulation of heat transfer and fluid flow in laser powder bed additive manufacturing. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 1154–1165
76.
Zurück zum Zitat Liu H, Sparks T, Liou F, Dietrich DM (2015) Residual stress and deformation modelling for metal additive manufacturing processes. In: Proceedings of the world congress on mechanical, chemical and material engineering, vol 245, pp 1-9 Liu H, Sparks T, Liou F, Dietrich DM (2015) Residual stress and deformation modelling for metal additive manufacturing processes. In: Proceedings of the world congress on mechanical, chemical and material engineering, vol 245, pp 1-9
80.
Zurück zum Zitat Marimuthu S, Clark D, Allen J, Kamara AM, Mativenga P, Li L, Scudamore R (2013) Finite element modelling of substrate thermal distortion in direct laser additive manufacture of an aero-engine component. Proc Inst Mech Eng Part C: J Mech Eng Sci 227(9):1987–1999. https://doi.org/10.1177/0954406212470363 CrossRef Marimuthu S, Clark D, Allen J, Kamara AM, Mativenga P, Li L, Scudamore R (2013) Finite element modelling of substrate thermal distortion in direct laser additive manufacture of an aero-engine component. Proc Inst Mech Eng Part C: J Mech Eng Sci 227(9):1987–1999. https://​doi.​org/​10.​1177/​0954406212470363​ CrossRef
81.
Zurück zum Zitat Marion JB, Heald MA (1995) Classical electromagnetic radiation. Saunders College Publishing, Philadelphia Marion JB, Heald MA (1995) Classical electromagnetic radiation. Saunders College Publishing, Philadelphia
92.
Zurück zum Zitat Neugebauer F, Keller N, Ploshikhin V, Feuerhahn F, Koehler H (2014) Multi scale FEM simulation for distortion calculation in additive manufacturing of hardening stainless steel. In: Proceedings of the International Workshop on Thermal Forming and Welding Distortion, vol 54 Neugebauer F, Keller N, Ploshikhin V, Feuerhahn F, Koehler H (2014) Multi scale FEM simulation for distortion calculation in additive manufacturing of hardening stainless steel. In: Proceedings of the International Workshop on Thermal Forming and Welding Distortion, vol 54
93.
Zurück zum Zitat Papadakis L, Loizou A (2013) A thermo-mechanical modeling reduction approach for calculating shape distortion in SLM manufacturing for aero engine components. In: Proceedings of the 6th International Conference on Advanced Research in Virtual and Rapid Prototyping, pp 613–618. https://doi.org/10.1201/b15961-112 CrossRef Papadakis L, Loizou A (2013) A thermo-mechanical modeling reduction approach for calculating shape distortion in SLM manufacturing for aero engine components. In: Proceedings of the 6th International Conference on Advanced Research in Virtual and Rapid Prototyping, pp 613–618. https://​doi.​org/​10.​1201/​b15961-112 CrossRef
94.
Zurück zum Zitat Papadakis L, Branner G, Schober A, Richter KH, Uihlein T (2012) Numerical modeling of heat effects during thermal manufacturing of aero engine components. In: Proceedings of the World Congress on Engineering 2012, vol 3 Papadakis L, Branner G, Schober A, Richter KH, Uihlein T (2012) Numerical modeling of heat effects during thermal manufacturing of aero engine components. In: Proceedings of the World Congress on Engineering 2012, vol 3
113.
Zurück zum Zitat Seitz F (1940) The modern theory of solids. McGraw-Hill Inc., New YorkMATH Seitz F (1940) The modern theory of solids. McGraw-Hill Inc., New YorkMATH
114.
Zurück zum Zitat Shapiro M, Dudko V, Royzen V, Krichevets Y, Lekhtmakher S, Grozubinsky V, Shapira M, Brill M (2004) Characterization of powder beds by thermal conductivity: effect of gas pressure on the thermal resistance of particle contact points. Part Part Syst Charact 21(4):268–275. https://doi.org/10.1002/ppsc.200400943 CrossRef Shapiro M, Dudko V, Royzen V, Krichevets Y, Lekhtmakher S, Grozubinsky V, Shapira M, Brill M (2004) Characterization of powder beds by thermal conductivity: effect of gas pressure on the thermal resistance of particle contact points. Part Part Syst Charact 21(4):268–275. https://​doi.​org/​10.​1002/​ppsc.​200400943 CrossRef
115.
116.
Zurück zum Zitat Sih SS, Barlow JW (1994) The prediction of the thermal conductivity of powders. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 397–401 Sih SS, Barlow JW (1994) The prediction of the thermal conductivity of powders. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 397–401
117.
Zurück zum Zitat Sih SS, Barlow JW (1995) Emissivity of powder beds. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 402–408 Sih SS, Barlow JW (1995) Emissivity of powder beds. In: Proceedings of the Solid Freeform Fabrication Symposium, pp 402–408
121.
Zurück zum Zitat Thümmler F, Oberacker R (1993) An introduction to powder metallurgy. The Institute of Materials, UK Thümmler F, Oberacker R (1993) An introduction to powder metallurgy. The Institute of Materials, UK
129.
Zurück zum Zitat Weirather J (2015) Project final report. Technical report, Technische Universitaet Muenchen Weirather J (2015) Project final report. Technical report, Technische Universitaet Muenchen
135.
Zurück zum Zitat Zaeh MF, Branner G, Krol T (2010) A three dimensional FE-model for the investigation of transient physical effects in selective laser melting. In: Innovative developments in design and manufacturing - advanced research in virtual and rapid prototyping – Proceedings of VRP4, Leiria, Taylor & Francis, pp 415–424. https://doi.org/10.1201/9780203859476.ch64 Zaeh MF, Branner G, Krol T (2010) A three dimensional FE-model for the investigation of transient physical effects in selective laser melting. In: Innovative developments in design and manufacturing - advanced research in virtual and rapid prototyping – Proceedings of VRP4, Leiria, Taylor & Francis, pp 415–424. https://​doi.​org/​10.​1201/​9780203859476.​ch64
Metadaten
Titel
Residual stress prediction in selective laser melting
A critical review of simulation strategies
verfasst von
Leonardo Bertini
Francesco Bucchi
Francesco Frendo
Mattia Moda
Bernardo Disma Monelli
Publikationsdatum
13.08.2019
Verlag
Springer London
Erschienen in
The International Journal of Advanced Manufacturing Technology / Ausgabe 1-4/2019
Print ISSN: 0268-3768
Elektronische ISSN: 1433-3015
DOI
https://doi.org/10.1007/s00170-019-04091-5

Weitere Artikel der Ausgabe 1-4/2019

The International Journal of Advanced Manufacturing Technology 1-4/2019 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.